3427079760 has 480 divisors, whose sum is σ = 13239152640. Its totient is φ = 809948160.

The previous prime is 3427079717. The next prime is 3427079779. The reversal of 3427079760 is 679707243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26984817 + ... + 26984943.

It is an arithmetic number, because the mean of its divisors is an integer number (27581568).

Almost surely, 2^3427079760 is an apocalyptic number.

3427079760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3427079760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6619576320).

3427079760 is an abundant number, since it is smaller than the sum of its proper divisors (9812072880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3427079760 is a wasteful number, since it uses less digits than its factorization.

3427079760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 3427079760 is about 58541.2654458374. The cubic root of 3427079760 is about 1507.6761705948.

The spelling of 3427079760 in words is "three billion, four hundred twenty-seven million, seventy-nine thousand, seven hundred sixty".